Category : Printer + Display Graphics
Archive : GUTS.ZIP
Filename : GUTS.DOC
Program: Guts.exe (windows application)
Author : Wes Cherry (wesc) 3.1147
Release: Beta
EQUATIONS OF MOTION:
--------------------
Force & Acceleration:
---------------------
Uses a modified version of the uniform graviatitional formula:
(Inverse rather than inverse squared)
m * m m * m
F = G ----- rather than F = G -----
r r*r
This is done becuase the patterns are more interesting and it avoids having
to compute a square root when converting F to it's component vectors.
Derivation:
m2
|\
| \ Given:
^ | \ m1*m2
y | \ F = G -------
|___0\m1 r
x>
(0 = theta)
Fy = F Sin 0; Sin 0 = y/r
m1*m2 y
Fy = G ----- * -
r r
Ay = Fy / m1
So:
m1 * y
Ay = G --------
r * r
For x & z the equations are the same.
Since each body attracts each other, the acceleration is computed for each
body to all other bodies.
Velocity & Position:
--------------------
Since
dV/dt = A, dV = Adt
& dX/dt = V, dX = Vdt